schoolofstatistics / src /js /direct_classifier.js
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Add Fourier & linear pages; unify styles
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// --- GLOBAL VARIABLES ---
let dataChart, rocChart, metricsChart;
const N_SAMPLES_PER_CLASS = 100;
function generateData(separation, stdDev) {
const data = [], labels = [];
for (let i = 0; i < N_SAMPLES_PER_CLASS; i++) { data.push({ x: randomGaussian(-separation / 2, stdDev), y: randomGaussian(0, stdDev) }); labels.push(0); }
for (let i = 0; i < N_SAMPLES_PER_CLASS; i++) { data.push({ x: randomGaussian(separation / 2, stdDev), y: randomGaussian(0, stdDev) }); labels.push(1); }
return { data, labels };
}
// --- CLASSIFIER: GAUSSIAN NAIVE BAYES ---
class GaussianNB {
fit(X, y) {
const classes = [...new Set(y)];
this.classes = classes;
this.params = {};
for (const cls of classes) {
const X_cls = X.filter((_, i) => y[i] === cls);
const mean_x = X_cls.reduce((a, b) => a + b.x, 0) / X_cls.length;
const mean_y = X_cls.reduce((a, b) => a + b.y, 0) / X_cls.length;
this.params[cls] = {
prior: X_cls.length / X.length,
mean: [mean_x, mean_y],
variance: [Math.max(1e-9, X_cls.reduce((a, b) => a + Math.pow(b.x - mean_x, 2), 0) / X_cls.length), Math.max(1e-9, X_cls.reduce((a, b) => a + Math.pow(b.y - mean_y, 2), 0) / X_cls.length)]
};
}
}
_pdf(x, mean, variance) { const exponent = Math.exp(-Math.pow(x - mean, 2) / (2 * variance)); return (1 / Math.sqrt(2 * Math.PI * variance)) * exponent; }
predict_proba(X) {
return X.map(point => {
const posteriors = {};
for (const cls of this.classes) {
const prior = Math.log(this.params[cls].prior);
const likelihood_x = Math.log(this._pdf(point.x, this.params[cls].mean[0], this.params[cls].variance[0]));
const likelihood_y = Math.log(this._pdf(point.y, this.params[cls].mean[1], this.params[cls].variance[1]));
posteriors[cls] = prior + likelihood_x + likelihood_y;
}
const max_posterior = Math.max(...Object.values(posteriors));
const exps = Object.fromEntries(Object.entries(posteriors).map(([k, v]) => [k, Math.exp(v - max_posterior)]));
const sum_exps = Object.values(exps).reduce((a, b) => a + b);
return exps[1] / sum_exps;
});
}
}
// --- METRICS CALCULATIONS ---
function getConfusionMatrix(labels, scores, threshold) {
let tp = 0, fp = 0, tn = 0, fn = 0;
labels.forEach((label, i) => {
const prediction = scores[i] >= threshold ? 1 : 0;
if (prediction === 1 && label === 1) tp++;
else if (prediction === 1 && label === 0) fp++;
else if (prediction === 0 && label === 0) tn++;
else if (prediction === 0 && label === 1) fn++;
});
return { tp, fp, tn, fn };
}
// --- UI UPDATE ---
function updateApplication() {
const separation = parseFloat(document.getElementById('separationSlider').value);
const stdDev = parseFloat(document.getElementById('stdDevSlider').value);
document.getElementById('separationValue').textContent = separation.toFixed(1);
document.getElementById('stdDevValue').textContent = stdDev.toFixed(1);
const { data, labels } = generateData(separation, stdDev);
const model = new GaussianNB();
model.fit(data, labels);
const scores = model.predict_proba(data);
const { rocPoints, auc } = calculateRocAndAuc(labels, scores);
const { tp, fp, tn, fn } = getConfusionMatrix(labels, scores, 0.5);
const total = tp + fp + tn + fn;
const precision = (tp + fp) > 0 ? tp / (tp + fp) : 0;
const recall = (tp + fn) > 0 ? tp / (tp + fn) : 0;
const specificity = (tn + fp) > 0 ? tn / (tn + fp) : 0;
const f1score = (precision + recall) > 0 ? 2 * (precision * recall) / (precision + recall) : 0;
const accuracy = total > 0 ? (tp + tn) / total : 0;
drawConfusionMatrix('matrixChart', tp, fp, tn, fn);
dataChart.data.datasets[0].data = data.filter((_, i) => labels[i] === 0);
dataChart.data.datasets[1].data = data.filter((_, i) => labels[i] === 1);
dataChart.update('none');
rocChart.data.datasets[0].data = rocPoints;
rocChart.update('none');
metricsChart.data.datasets[0].data = [auc, accuracy, precision, recall, specificity, f1score];
metricsChart.update('none');
}
// --- INITIALIZATION ---
function initCharts() {
const dataCtx = document.getElementById('dataChart').getContext('2d');
dataChart = new Chart(dataCtx, { type: 'scatter', data: { datasets: [{ label: 'Negative Class', data: [], backgroundColor: '#0D47A1' }, { label: 'Positive Class', data: [], backgroundColor: '#B71C1C' }] }, options: { responsive: true, maintainAspectRatio: false, animation: { duration: 0 } } });
const rocCtx = document.getElementById('rocChart').getContext('2d');
rocChart = new Chart(rocCtx, { type: 'scatter', data: { datasets: [{ label: 'ROC Curve', data: [], borderColor: '#0D47A1', backgroundColor: 'transparent', showLine: true, pointRadius: 0, borderWidth: 3 }, { label: 'Chance Line', data: [{ x: 0, y: 0 }, { x: 1, y: 1 }], borderColor: '#666', showLine: true, pointRadius: 0, borderDash: [5, 5] }] }, options: { responsive: true, maintainAspectRatio: false, animation: { duration: 0 }, scales: { x: { min: 0, max: 1, title: { display: true, text: 'False Positive Rate' } }, y: { min: 0, max: 1, title: { display: true, text: 'True Positive Rate' } } } } });
const metricsCtx = document.getElementById('metricsChart').getContext('2d');
metricsChart = new Chart(metricsCtx, {
type: 'bar',
data: { labels: ['AUC', 'Accuracy', 'Precision', 'Recall', 'Specificity', 'F1-Score'], datasets: [{ data: [], backgroundColor: ['#673AB7', '#009688', '#1E88E5', '#388E3C', '#FB8C00', '#9C27B0'] }] },
plugins: [customDatalabelsPlugin],
options: {
responsive: true,
maintainAspectRatio: false,
indexAxis: 'x',
animation: { duration: 0 },
plugins: {
legend: { display: false },
tooltip: {
enabled: true,
backgroundColor: 'rgba(255, 255, 255, 0.95)',
titleColor: '#000',
bodyColor: '#000',
borderColor: '#555',
borderWidth: 1,
padding: 15,
displayColors: false,
callbacks: {
label: metricsTooltipCallback
}
}
},
scales: { y: { beginAtZero: true, max: 1 } }
}
});
}
window.addEventListener('load', function () {
initCharts();
const sliders = ['separationSlider', 'stdDevSlider'];
sliders.forEach(id => { document.getElementById(id).addEventListener('input', updateApplication); });
if (window.innerWidth > 1200) { makeDraggable(document.getElementById('floatingControls'), document.getElementById('controlsTitle')); }
updateApplication();
});